126127 has 2 divisors, whose sum is σ = 126128. Its totient is φ = 126126.

The previous prime is 126107. The next prime is 126131. The reversal of 126127 is 721621.

It is a strong prime.

It is an emirp because it is prime and its reverse (721621) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-126127 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (126107) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63063 + 63064.

It is an arithmetic number, because the mean of its divisors is an integer number (63064).

2¹²⁶¹²⁷ is an apocalyptic number.

126127 is a deficient number, since it is larger than the sum of its proper divisors (1).

126127 is an equidigital number, since it uses as much as digits as its factorization.

126127 is an evil number, because the sum of its binary digits is even.

The product of its digits is 168, while the sum is 19.

The square root of 126127 is about 355.1436329149. The cubic root of 126127 is about 50.1498173138.

Adding to 126127 its reverse (721621), we get a palindrome (847748).

It can be divided in two parts, 126 and 127, that added together give a triangular number (253 = T₂₂).

The spelling of 126127 in words is "one hundred twenty-six thousand, one hundred twenty-seven".